Kupka-Smale theorem for automorphisms of \(\mathbf C^n\)

DOI10.1215/S0012-7094-98-09317-6zbMath0946.32012MaRDI QIDQ1974829

Gregery T. Buzzard

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Kupka-Smale theoremautomorphisms of \( \mathbb{C} ^n \)

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Related Items (7)

Fixed point indices and periodic points of holomorphic mappings ⋮ ATTRACTING BASINS OF VOLUME PRESERVING AUTOMORPHISMS OF ℂ^k ⋮ Structure of leaves and the complex Kupka-Smale property ⋮ Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections ⋮ The numbers of periodic orbits hidden at fixed points of 2-dimensional holomorphic mappings ⋮ Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\) ⋮ Topology of analytic foliations in \(\mathbb{C}^{2}\). The Kupka-Smale property

Cites Work

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• Infinitely many periodic attractors for holomorphic maps of 2 variables
• An interpolation theorem for holomorphic automorphisms of \({\mathbb{C}}^n\)
• Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
• Introduction to the theory of analytic spaces
• Stable manifolds of automorphisms of at fixed points
• Holomorphic Maps from C n to C n
• From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems
• Endomorphisms of Compact Differentiable Manifolds

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